{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "import qutip\n",
    "import itertools"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "terms = ['YXXX', 'YXYY', 'YYXY', 'YYYX', 'XXXX', 'XXYY', 'XYXY', 'XYYX',\n",
    "         'YXXY', 'YXYX', 'YYXX', 'YYYY', 'XXXY', 'XXYX', 'XYXX', 'XYYY']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "pauli_to_matrix = {'I': qutip.identity(2),\n",
    "                   'X': qutip.sigmax(),\n",
    "                   'Y': qutip.sigmay(),\n",
    "                   'Z': qutip.sigmaz()}\n",
    "\n",
    "\n",
    "def commutes(term1, term2):\n",
    "    term1_matrices = [pauli_to_matrix[pauli] for pauli in term1]\n",
    "    term2_matrices = [pauli_to_matrix[pauli] for pauli in term2]\n",
    "    return qutip.commutator(qutip.tensor(*term1_matrices), qutip.tensor(*term2_matrices)).norm() == 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.Graph()\n",
    "node_color = []\n",
    "for term in terms:\n",
    "    if term in ['XXXX', 'XXYY', 'XYXY', 'XYYX', 'YXXY', 'YXYX', 'YYXX', 'YYYY']:\n",
    "        node_color.append('green')\n",
    "    else:\n",
    "        node_color.append('orange')\n",
    "    G.add_node(term)\n",
    "\n",
    "colors = []\n",
    "for i in range(len(terms)):\n",
    "    for j in range(i + 1, len(terms)):\n",
    "        if commutes(terms[i], terms[j]):\n",
    "            G.add_edge(terms[i], terms[j], color='b')\n",
    "            colors.append('#d95b59')\n",
    "                \n",
    "nx.draw(G, pos=nx.circular_layout(G), with_labels=True, font_family=\"Times\", font_size=16, node_color=node_color, node_size=1930, edge_color=colors)\n",
    "ax = plt.gca() # to get the current axis\n",
    "ax.collections[0].set_edgecolor(\"#000000\") \n",
    "plt.savefig(\"JW_pqrs_term.svg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
